Answer:
x = 11
Step-by-step explanation:
∠BCE + ∠ECF = 180°
∴(10x + 15)° + 5x° = 180°
(15x + 15)° = 180°
15x = 180° - 15°
15x = 165°
x = 165°/15°
x = 11°
Answer:
Total earning of Clarissa for the november month is $3840 .
Step-by-step explanation:
As given
Clarissa works in sales for a software company.
Her pay each month varies, because each month she receives a base pay of $2,400.00 plus 8% commission on her sales.
During the month of November, Clarissa had $18,000.00 in sales.
8% is written in the decimal form
= 0.08
Commission price = 0.08 × sales in november month .
= 0.08 × 18000
= $ 1440
Total earning in november month = Base price + Commission price
= $2400 + $ 1440
= $ 3840
Therefore the total earning of Clarissa for the november month is $3840 .
9 is subtracted from the sum of 5 and a number
Answer:
2x + 3y = 4
Step-by-step explanation:
The standard form:
Ax + By = C
So from the given form, arrange it to the standard form.
First, simplify the form by distribution.
y + 6 = -2/3(x - 11)
y + 6 = -2/3x + 22/3
Next, you make the fractions into whole by multiplying both sides by 3(this would eliminate all fractions).
(3)y + 3(6) = 3(-2/3x) + 3(22/3)
3y + 18 = -2x + 22
Now, arrange the "Ax" and the "C's".
3y + 18 = -2x + 22
2x + 3y + 18 = 22
2x + 3y = 22 - 18
2x + 3y = 4
Cheers!
Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
